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Question

A very long cylindrical wire of radius R carries a current I0 uniformly distributed across the cross-section of the wire, calculate the magnetic flux through a rectangle that has one side of length w s running down the centre of the wire and another side of length R, shown in figure
1244670_e852e684d6514126b8b341423d161c8e.png

A
μ0I0×wR4π
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B
μ0I0w4π
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C
μ0I0R4πw
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D
None of these
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Solution

The correct option is C μ0I0R4πw

Radius =R. (one side)
Current =I0
φ= magnetic flux
length =W
another side =L
μ0I0R24πW φ=r0nI
=μ04π× =μ04π×I0×R2WR
=μ04π×I0×RW

1210478_1244670_ans_5c02438f51564b4385073ee6dbd2a800.png

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